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Finding the Fourth Proportional to 27,364.80, 41,071.20 and 16,257.60

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Solution

The fourth proportional to 27,364.80, 41,071.20 and 16,257.60 is: 24,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.80 : 41,071.20 = 16,257.60 : x
  2. Step 2: Convert to fraction form
    27,364.80/41,071.20 = 16,257.60/x
  3. Step 3: Cross multiply
    27,364.80x = 41,071.20 × 16,257.60
  4. Step 4: Simplify right side
    27,364.80x = 667,719,141.12
  5. Step 5: Solve for x
    x = 667,719,141.12/27,364.80
  6. Step 6: Final answer
    x = 24,400.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.